A flywheel of mass 80 kg with a radius of gyration of 0.4 m is accelerated uniformly from rest to 1800 rpm. The driving torque is a constant 93 N·m and friction can be ignored. How long t does this take?
A flywheel of mass 130 kg has a radius of gyration of 0.4 m about its axis. It spins at 800 rpm. Find its kinetic energy Ek in kJ.
A uniform slender rod of mass 1.5 kg and length 2.1 m is pinned at one end and released from rest in a horizontal position. Ignore friction and use g = 9.81 m/s². Find the angular velocity ω of the rod as it swings through the vertical position.
A uniform slender rod of mass 6 kg and length 1.6 m is pinned at one end and released from rest in a horizontal position. Ignore friction and use g = 9.81 m/s². Find the speed v of the free end as the rod swings through the vertical position.
A thin hoop starts from rest and rolls without slipping down a slope inclined at 35° to the horizontal. Use g = 9.81 m/s². Find its speed v after it has rolled 3.5 m along the slope.
A person stands on a frictionless turntable and holds a 2 kg dumbbell in each hand, 0.85 m from the axis. The person and turntable alone have a moment of inertia of 3.5 kg·m² about the axis. They turn at 35 rpm, then pull the dumbbells in to 0.3 m from the axis. Treat the dumbbells as point masses. Find the new speed n2 in rpm.
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